Q 109.
Question
Which of the following is least affected if an extreme high outlier is added to your data?
(a) Median
(b) Mean
(c) Standard deviation
(d) Range
(e) Maximum
Step-by-Step Solution
Verified Answer
The correct option is (a) Median.
1Step 1: The given information
An extreme high outliner is added to the data.
2Step 2: Concept
Statistical Measures are a descriptive-analytical technique that provides an overview of a data set's properties.
3Step 3: Explanation
Outliers don't affect the median, but they do affect the mean. Because the standard deviation is calculated from the mean, it is susceptible to outliers as well. The range would be affected by adding an extreme outlier since the data's dispersion would vary. The maximum value would likewise change, as it would become the new maximum. So, the median is the correct answer.
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